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arlik [135]
3 years ago
13

What is the midpoint of the segment shown below ?

Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
8 0

Answer:

C) (x,y) = (\frac{5}{2} , \frac{7}{2} ) is the mid point of AB.

Step-by-step explanation:

Let A and B be the two end points of the segment shown.

So, the coordinates of the segment AB are A(2,2) and B(3,5).

Let (x,y) be the mid point of AB.

By mid point Formula,

Mid point (x, y) = (\frac{x_{1} + x_{2}  }{2} ,\frac{y_{1} + y_{2}  }{2})

⇒(x, y) = (\frac{2 + 3 }{2} ,\frac{2 + 5  }{2})

So, x = 5/2, and y = 7/2

Hence, (x,y) = (\frac{5}{2} , \frac{7}{2} ) is the mid point of AB.

(c) is the correct option.

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Point H is between points L and S. LS = 14x -21 LH = 15 HS = 8x What is the length of segment LS?Immersive Reader (5 Points)
Fofino [41]

Answer:

LS = 63

Step-by-step explanation:

Given

LS = 14x - 21

LH = 15

HS = 8x

Required

Determine the length of LS

Since H is between L and S, then

LS = LH + HS

Substitute 14x - 21 for LS, 15 for LH and 8x for HS

14x - 21 = 15 + 8x

Collect Like Terms

14x - 8x = 21 + 15

6x = 36

Divide both sides by 6

x = 6

Substitute 6 for x in LS = 14x - 21

LS = 14(6) - 21

LS = 84 - 21

LS = 63

<em>Hence, the length of LS is 63 units</em>

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3 years ago
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Answer:

10 units is the answer.

Step-by-step explanation:

points are (-3,2) and (-9,-6)

Pythagorean theorem can be written as,

d=\sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} \\\\d=\sqrt{(-9-(-3))^2 + (-6-2)^2}\\\\d=\sqrt{(-6)^2+(-8)^2} \\\\d=\sqrt{36+64} \\\\d=\sqrt{100} \\\\d=10

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2 years ago
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If minor arc AB measures 9pi, what is the length of the radius of circle C? If necessary, round your answer to the nearest inch.
Y_Kistochka [10]

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Step-by-step explanation:

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2 years ago
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Cual es la forma más simple al efectuar la operación indicada en la expresión (-3) (-12) ?
GaryK [48]

Answer:

Cual es la forma más simple al efectuar la operación indicada en la expresión (-3) (-12) ?  this means What is the simplest way to perform the operation indicated in the expression (-3) (-12)?

Step-by-step explanation:

Multiply -3 by -12 and get 36. hope this was helpful.

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